Calculus Exam 4 Questions with Latest Update

INTG(sin(x) dx) - ANSWER--cos(x) + C INTG(cos(x) dx) - ANSWER-sin(x) + C INTG((sec(x))^2 dx) - ANSWER-tan(x) + C INTG((csc(x))^2 dx) - ANSWER--cot(x) + C INTG(sec(x)*tan(x) dx) - ANSWER-sec(x) + C INTG(csc(x)*cot(x) dx) - ANSWER--csc(x) + C INTG(b^x dx) - ANSWER-(1/ln(b))*b^x + C INTG(1/x dx) - ANSWER-ln(abs(x)) + C INTG((1/sqrt(1-x^2)) dx) - ANSWER-arcsin(x) + C INTG(-(1/sqrt(1-x^2)) dx) - ANSWER-arccos(x) + C INTG((1/(1+x^2)) dx) - ANSWER-arctan(x) + C Rational Function lim(x️a, (f(x)/g(x))) - ANSWER-= (0/0) or (inf/inf) Apply L'Hôpital's Rule lim(x️a, (f'(x)/g'(x))) Indeterminate Difference lim(x️a, (f(x)-g(x)) - ANSWER-=(inf-inf) Apply L'Hôpital's Rule lim(x️a, (f'(x)-g'(x)) Indeterminate Powers lim(x️a, (f(x))^g(x))) - ANSWER-= 0^0 or inf^0 or 1^inf Apply L'Hôpital's Rule lim(x️a, ((f(x)/g(x))') Curve Sketching Essential Information - ANSWER-first derivative second derivative